Search a number
-
+
2102130135 = 32572953347
BaseRepresentation
bin111110101001011…
…1111010111010111
312102111112021102200
41331102333113113
513301121131020
6544331535543
7103043545200
oct17522772727
95374467380
102102130135
11989663536
124a7bba5b3
132766855b1
1415d2825a7
15c4838590
hex7d4bf5d7

2102130135 has 36 divisors (see below), whose sum is σ = 4238585208. Its totient is φ = 960972768.

The previous prime is 2102130133. The next prime is 2102130139. The reversal of 2102130135 is 5310312012.

It is not a de Polignac number, because 2102130135 - 21 = 2102130133 is a prime.

It is a super-2 number, since 2×21021301352 = 8837902208950236450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102130133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 474469 + ... + 478878.

It is an arithmetic number, because the mean of its divisors is an integer number (117738478).

Almost surely, 22102130135 is an apocalyptic number.

2102130135 is an abundant number, since it is smaller than the sum of its proper divisors (2136455073).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2102130135 is a wasteful number, since it uses less digits than its factorization.

2102130135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953372 (or 953362 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2102130135 is about 45848.9927370275. The cubic root of 2102130135 is about 1281.0120038291.

Adding to 2102130135 its reverse (5310312012), we get a palindrome (7412442147).

The spelling of 2102130135 in words is "two billion, one hundred two million, one hundred thirty thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 953347 2860041 4766735 6673429 8580123 14300205 20020287 33367145 42900615 46714003 60060861 100101435 140142009 233570015 300304305 420426027 700710045 2102130135